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Question 1208921: The price of a pair of sneakers was $80 for the last six months of last year. On January first, the price increased 20%. After the price increase, an employee bought these sneakers with a 10% employee discount. What price did the employee pay?
Found 3 solutions by josgarithmetic, greenestamps, timofer:
Answer by josgarithmetic(39617)   (Show Source):
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
The solution method shown by the other tutor is fine, but it is slow and inefficient.
Instead of thinking of the new price as the original price plus 20% of the original price, think of it as the old price multiplied by 100%+20% = 120%, or 1.2.
And instead of thinking of the final price with an employee discount of 10% as the price minus 10% of the price, think of it as the price multiplied by 100%-10% = 90%, or by 0.9.
Then the final price after the 20% increase and the reduction of 10% is
(original price) * (1.2) * (0.9)
ANSWER: $86.40
In more complicated problems involving percent increases and/or decreases, doing the calculations as price plus or minus % of price becomes very inefficient. Doing the calculations as price multiplied by a factor representing the price increase or decrease is always much easier.
Answer by timofer(104) (Show Source):
You can put this solution on YOUR website! The price was increased from 80 dollars to 80+80/5 so became 80+16, or 96 dollars.
The employee was given a 10% discount on the 96 dollars, so he paid 90% of the 96 dollars
or 0.9*96, which is 86.4 dollars.
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